Write the following equation in q(x)+(r(x)/d(x)) form:
(7x^3 - 11x^2 + 5x +4) / (x-1)

Question

Write the following equation in q(x)+(r(x)/d(x)) form:
(7x^3 - 11x^2 + 5x +4) / (x-1)

helder_edwin · Answer

using synthetic divison u get:
$$\large \begin{array}{r|rrrr}
                & 7 & -11 & 5 & 4\
                1 & & 7 & -4 & 1\
                 \hline
                 & 7 & -4 & 1 & \fbox{5}
            \end{array} $$

anonymous · Answer

okay but once I use synthetic division how do I put it in the form its asking for? @helder_edwin

anonymous · Answer

and where did you get your second row of numbers for the synthetic division?

anonymous · Answer

@mathslover

anonymous · Answer

@hartnn

anonymous · Answer

1*7=7
-11+7=-4
1*-4=-4
5+(-4)=5-4=1
1*1=1
4+1=5
$$q(x)=7 x^2-4 x+1,r(x)=5$$
d(x)=x-1

anonymous · Answer

oh! ok awesome thank you so much!!! I get it now!

anonymous · Answer

yw

anonymous · Answer

okay so its (7x^2 - 4x + 1)+(5 / (x - 1)) ??? right?

anonymous · Answer

correct.
$$\frac{ 7x^3-11x^2+5x+4 }{ x-1 }=7x^2-4x+1+\frac{ 5 }{ x-1 }$$

anonymous · Answer

and hey for example if it was divided by (x-2) instead would it look like this?: |dw:1401814923640:dw|

anonymous · Answer

@surjithayer

anonymous · Answer

@mathlover2014

anonymous · Answer

|dw:1401831490361:dw|